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Finding the Fourth Proportional to 87.76, 131.08 and 74.84

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Solution

The fourth proportional to 87.76, 131.08 and 74.84 is: 111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.76 : 131.08 = 74.84 : x
  2. Step 2: Convert to fraction form
    87.76/131.08 = 74.84/x
  3. Step 3: Cross multiply
    87.76x = 131.08 × 74.84
  4. Step 4: Simplify right side
    87.76x = 9,810.03
  5. Step 5: Solve for x
    x = 9,810.03/87.76
  6. Step 6: Final answer
    x = 111.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.